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aleksley [76]
3 years ago
8

What is 3 1/4 divided by 2/3 with all of the steps?

Mathematics
1 answer:
erik [133]3 years ago
5 0

Answer:

4 7/8

Step-by-step explanation:

3 1/4 / 2/3

convert mixed numbers to improper fractions: 3 1/4 / 2/3

13/4 / 2/3

apply the fraction rule: a/b / c/d = a/b * d/c

= 13/4 * 3/2

multiply fractions: a/b * c/d = (a * c)/(b * d)

= (13 * 3)/(4 * 2)

multiply the numbers: 13 * 3 = 39

= 39/(4 * 2)

multiply the numbers: 4 * 2 = 8

= 39/8

convert improper fractions to mixed numbers: 39/8 = 4 7/8

= 4 7/8

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est scores for a statistics class had a mean of 79 with a standard deviation of 4.5. Test scores for a calculus class had a mean
Arte-miy333 [17]

Answer:

The z-score for the statistics test grade is of 1.11.

The z-score for the calculus test grade is 7.3.

Due to the higher z-score, the student performed better on the calculus test relative to the other students in each class

Step-by-step explanation:

Z-score:

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

The grade with the higher z-score is better relative to the other students in each class.

Statistics:

Mean of 79 and standard deviation of 4.5, so \mu = 79, \sigma = 4.5

Student got 84, so X = 84

The z-score is:

Z = \frac{X - \mu}{\sigma}

Z = \frac{84 - 79}{4.5}

Z = 1.11

The z-score for the statistics test grade is of 1.11.

Calculus:

Mean of 69, standard deviation of 3.7, so \mu = 69, \sigma = 3.7

Student got 96, so X = 96

The z-score is:

Z = \frac{X - \mu}{\sigma}

Z = \frac{96 - 69}{3.7}

Z = 7.3

The z-score for the calculus test grade is 7.3.

On which test did the student perform better relative to the other students in each class?

Due to the higher z-score, the student performed better on the calculus test relative to the other students in each class

7 0
3 years ago
Help me out please I’ll send the rest
SVEN [57.7K]

Answer:

x=12°

Step-by-step explanation:

3x+6+48=90

3x+54=90

3x=90-54

3x=36

x=36/3

x=12

x=12°

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3 years ago
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B. is the answer. hope this helps! :)
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Answer:        Um do u still need help or no

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